Some conjectured formulas for 1/Pi coming from polytopes, K3-surfaces and Moonshine

TL;DR

This paper explores conjectured formulas for 1/π derived from Calabi-Yau differential equations, generalized J-functions, and their values, linking complex geometry with number theory.

Contribution

It introduces new conjectured formulas for 1/π based on Calabi-Yau equations, K3-surfaces, and Moonshine phenomena, connecting diverse mathematical areas.

Findings

Numerous conjectured formulas for 1/π are proposed.

Calabi-Yau differential equations are used to generate generalized J-functions.

The approach links complex geometry with number-theoretic formulas.

Abstract

Calabi-Yau differential equations of various origins are used to find generalized J-functions. From their values of them. numerous conjectured formulas for 1/Pi are constructed.